Question

Find the lengths of the other $3$ sides of a parallelogram, whose perimeter is $72$ inches, and whose one side measures $12$ inches. ( All lengths in inches )

• A. $12,12,36$
• B. $12,18,18$
• C. $12,24,24$
• D. $12,30,30$
• E. Cannot be determines from the given information

Answer 1

The correct option is C $12,24,24$

We know that opposite sides of a parallelogram are equal in length.

Hence if one side is $12$ inches in length, then the side opposite to it will also be $12$ inches in length.

Now the other two sides will also be equal in length.

Let the unknown side be of length $x$.
Hence, $2\left(12\right)+2x=72$

$\Rightarrow 24+2x=72$

$\Rightarrow 2x=48$

$\Rightarrow x=24$
Thus the length of sides of the parallelogram are $12,24,24$.